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480512382 = 23729339047
BaseRepresentation
bin11100101001000…
…000100101111110
31020111011120001220
4130221000211332
51441002344012
6115403014210
714623200510
oct3451004576
91214146056
10480512382
11227267079
12114b0a366
1378720c6c
1447b61bb0
152c2b908c
hex1ca4097e

480512382 has 32 divisors (see below), whose sum is σ = 1102090752. Its totient is φ = 136817184.

The previous prime is 480512381. The next prime is 480512387. The reversal of 480512382 is 283215084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480512381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7218 + ... + 31829.

It is an arithmetic number, because the mean of its divisors is an integer number (34440336).

Almost surely, 2480512382 is an apocalyptic number.

480512382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

480512382 is an abundant number, since it is smaller than the sum of its proper divisors (621578370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480512382 is a wasteful number, since it uses less digits than its factorization.

480512382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39352.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 480512382 is about 21920.5926470978. The cubic root of 480512382 is about 783.2520274547.

The spelling of 480512382 in words is "four hundred eighty million, five hundred twelve thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 293 586 879 1758 2051 4102 6153 12306 39047 78094 117141 234282 273329 546658 819987 1639974 11440771 22881542 34322313 68644626 80085397 160170794 240256191 480512382